A unit vector along the incident ray of light is i^. The unit vector for the corresponding refracted ray of light is r^. Where n^, a unit vector normal to the boundary of the medium and directed towards the incident medium. If μ is the refractive index of the medium, then Snell's law (second law) of refraction is
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a
i^×n^=μ(n^+r→)
b
i^.n^=μ(r^.n^)
c
i^×n^=μ(r^×n^)
d
i^×n^=μ(n^×r^)
answer is C.
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Detailed Solution
By Snell's law , μ=sin isin r =sin (π-i)sin (π-r)=i^n^ sin (π-i) k^r^n^ sin (π-r) k^ where k^ is a unit vector perpendicular to the plane of refraction directed outward . Therefore μ=i^×n^r^×n^